| eBook ISBN: | 978-0-8218-7697-8 |
| Product Code: | CONM/109.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-7697-8 |
| Product Code: | CONM/109.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 109; 1990; 191 ppMSC: Primary 20
The AMS Special Session on Combinatorial Group Theory—Infinite Groups, held at the University of Maryland in April 1988, was designed to draw together researchers in various areas of infinite group theory, especially combinatorial group theory, to share methods and results. The session reflected the vitality and interests in infinite group theory, with eighteen speakers presenting lectures covering a wide range of group-theoretic topics, from purely logical questions to geometric methods. The heightened interest in classical combinatorial group theory was reflected in the sheer volume of work presented during the session.
This book consists of eighteen papers presented during the session. Comprising a mix of pure research and exposition, the papers should be sufficiently understandable to the nonspecialist to convey a sense of the direction of this field. However, the volume will be of special interest to researchers in infinite group theory and combinatorial group theory, as well as to those interested in low-dimensional (especially three-manifold) topology.
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Table of Contents
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Articles
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Gilbert Baumslag — Some reflections on finitely generated metabelian groups [ MR 1076371 ]
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Benjamin Fine and Gerhard Rosenberger — Conjugacy separability of Fuchsian groups and related questions [ MR 1076372 ]
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Benjamin Fine, Frank Röhl and Gerhard Rosenberger — Two-generator subgroups of certain HNN groups [ MR 1076373 ]
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Thomas A. Fournelle and Kenneth W. Weston — A geometric approach to some group presentations [ MR 1076374 ]
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Anthony M. Gaglione and Dennis Spellman — $\gamma _{n+1}(F)$ and $F/\gamma _{n+1}(F)$ revisited [ MR 1076375 ]
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Anthony M. Gaglione and Hermann V. Waldinger — The commutator collection process [ MR 1076376 ]
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Luise-Charlotte Kappe and Robert Fitzgerald Morse — Levi-properties in metabelian groups [ MR 1076377 ]
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Kathryn Kuiken and John T. Masterson — Monodromy groups of differential equations on Riemann surfaces of genus $1$ [ MR 1076378 ]
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John P. Labute — The Lie algebra associated to the lower central series of a free product of cyclic groups of prime order $p$ [ MR 1076379 ]
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J. P. Levine — Algebraic closure of groups
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A. M. Macbeath — Automorphisms of Riemann surfaces [ MR 1076381 ]
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I. D. MacDonald and B. H. Neumann — On commutator laws in groups. II [ MR 1076382 ]
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James McCool — Two-dimensional linear characters and automorphisms of free groups [ MR 1076383 ]
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John G. Ratcliffe — On the uniqueness of amalgamated product decompositions of a group [ MR 1076384 ]
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Luis Ribes — The Cartesian subgroup of a free product of profinite groups [ MR 1076385 ]
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Derek J. S. Robinson — A note on local coboundaries for locally nilpotent groups [ MR 1076386 ]
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C. Y. Tang — Some results on $1$-relator quotients of free products [ MR 1076387 ]
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M. Tretkoff — Covering spaces, subgroup separability, and the generalized M. Hall property [ MR 1076388 ]
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The AMS Special Session on Combinatorial Group Theory—Infinite Groups, held at the University of Maryland in April 1988, was designed to draw together researchers in various areas of infinite group theory, especially combinatorial group theory, to share methods and results. The session reflected the vitality and interests in infinite group theory, with eighteen speakers presenting lectures covering a wide range of group-theoretic topics, from purely logical questions to geometric methods. The heightened interest in classical combinatorial group theory was reflected in the sheer volume of work presented during the session.
This book consists of eighteen papers presented during the session. Comprising a mix of pure research and exposition, the papers should be sufficiently understandable to the nonspecialist to convey a sense of the direction of this field. However, the volume will be of special interest to researchers in infinite group theory and combinatorial group theory, as well as to those interested in low-dimensional (especially three-manifold) topology.
-
Articles
-
Gilbert Baumslag — Some reflections on finitely generated metabelian groups [ MR 1076371 ]
-
Benjamin Fine and Gerhard Rosenberger — Conjugacy separability of Fuchsian groups and related questions [ MR 1076372 ]
-
Benjamin Fine, Frank Röhl and Gerhard Rosenberger — Two-generator subgroups of certain HNN groups [ MR 1076373 ]
-
Thomas A. Fournelle and Kenneth W. Weston — A geometric approach to some group presentations [ MR 1076374 ]
-
Anthony M. Gaglione and Dennis Spellman — $\gamma _{n+1}(F)$ and $F/\gamma _{n+1}(F)$ revisited [ MR 1076375 ]
-
Anthony M. Gaglione and Hermann V. Waldinger — The commutator collection process [ MR 1076376 ]
-
Luise-Charlotte Kappe and Robert Fitzgerald Morse — Levi-properties in metabelian groups [ MR 1076377 ]
-
Kathryn Kuiken and John T. Masterson — Monodromy groups of differential equations on Riemann surfaces of genus $1$ [ MR 1076378 ]
-
John P. Labute — The Lie algebra associated to the lower central series of a free product of cyclic groups of prime order $p$ [ MR 1076379 ]
-
J. P. Levine — Algebraic closure of groups
-
A. M. Macbeath — Automorphisms of Riemann surfaces [ MR 1076381 ]
-
I. D. MacDonald and B. H. Neumann — On commutator laws in groups. II [ MR 1076382 ]
-
James McCool — Two-dimensional linear characters and automorphisms of free groups [ MR 1076383 ]
-
John G. Ratcliffe — On the uniqueness of amalgamated product decompositions of a group [ MR 1076384 ]
-
Luis Ribes — The Cartesian subgroup of a free product of profinite groups [ MR 1076385 ]
-
Derek J. S. Robinson — A note on local coboundaries for locally nilpotent groups [ MR 1076386 ]
-
C. Y. Tang — Some results on $1$-relator quotients of free products [ MR 1076387 ]
-
M. Tretkoff — Covering spaces, subgroup separability, and the generalized M. Hall property [ MR 1076388 ]
